Q: What are the factor combinations of the number 452,700?

 A:
Positive:   1 x 4527002 x 2263503 x 1509004 x 1131755 x 905406 x 754509 x 5030010 x 4527012 x 3772515 x 3018018 x 2515020 x 2263525 x 1810830 x 1509036 x 1257545 x 1006050 x 905460 x 754575 x 603690 x 5030100 x 4527150 x 3018180 x 2515225 x 2012300 x 1509450 x 1006503 x 900
Negative: -1 x -452700-2 x -226350-3 x -150900-4 x -113175-5 x -90540-6 x -75450-9 x -50300-10 x -45270-12 x -37725-15 x -30180-18 x -25150-20 x -22635-25 x -18108-30 x -15090-36 x -12575-45 x -10060-50 x -9054-60 x -7545-75 x -6036-90 x -5030-100 x -4527-150 x -3018-180 x -2515-225 x -2012-300 x -1509-450 x -1006-503 x -900


How do I find the factor combinations of the number 452,700?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 452,700, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 452,700
-1 -452,700

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 452,700.

Example:
1 x 452,700 = 452,700
and
-1 x -452,700 = 452,700
Notice both answers equal 452,700

With that explanation out of the way, let's continue. Next, we take the number 452,700 and divide it by 2:

452,700 ÷ 2 = 226,350

If the quotient is a whole number, then 2 and 226,350 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 226,350 452,700
-1 -2 -226,350 -452,700

Now, we try dividing 452,700 by 3:

452,700 ÷ 3 = 150,900

If the quotient is a whole number, then 3 and 150,900 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 150,900 226,350 452,700
-1 -2 -3 -150,900 -226,350 -452,700

Let's try dividing by 4:

452,700 ÷ 4 = 113,175

If the quotient is a whole number, then 4 and 113,175 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 113,175 150,900 226,350 452,700
-1 -2 -3 -4 -113,175 -150,900 -226,350 452,700
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1234569101215182025303645506075901001501802253004505039001,0061,5092,0122,5153,0184,5275,0306,0367,5459,05410,06012,57515,09018,10822,63525,15030,18037,72545,27050,30075,45090,540113,175150,900226,350452,700
-1-2-3-4-5-6-9-10-12-15-18-20-25-30-36-45-50-60-75-90-100-150-180-225-300-450-503-900-1,006-1,509-2,012-2,515-3,018-4,527-5,030-6,036-7,545-9,054-10,060-12,575-15,090-18,108-22,635-25,150-30,180-37,725-45,270-50,300-75,450-90,540-113,175-150,900-226,350-452,700

More Examples

Here are some more numbers to try:

452,698452,699452,701452,702
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